Monday HW = Hypotheses!
Tonight, please complete the following in your textbook (or the questions are shown below):
- Page 469-471: 1, 2, 13a, 15
- For 1, 2, and 13a your job is to write the hypotheses (only)!
- For 15a, create a confidence interval--this means conditions, math, interpret interval!
- For 15b use your interval to decide if there is an evidence in a "change in behavior" aka if the % who had never been smokers is now different from 44%.
- ALWAYS CHECK YOUR ANSWERS!
- Here's a key:
- 1a.) Ho: p = 0.3 Ha: p < 0.3
- 1b.) Ho: p = 0.5 Ha: p not equal to 0.5
- 1c.) Ho: p = 0.2 Ha: p > 0.2
- 2a.) Ho: p = 0.4 Ha: p not equal to 0.4
- 2b.) Ho: p = 0.2 Ha: p < 0.2
- 2c.) Ho: p = 0.6 Ha: p > 0.6
- 13a.) Ho: p = 0.34 Ha: p < 0.34
- 15a.)
- This is a random sample of 881 adults.
- 881 < 10% of all adults (in the U.S.)
- 881(.52)>10, 881(.48)>10
- One Prop Z Int = (48.7%, 55.3%) = .52 +/- 1.96sqrt(.52x.48/881)
- We are 95% confident that the proportion of adults (in 1995) who had never been smokers falls between 48.7% and 55.3% based on this sample of adults.
- 15b.) The interval DOES provide evidence of a change in behavior above Americans because 44% does NOT fall within the interval. (Our interval suggests that the % of Americans who had never been smokers has increased, and is now above 44%
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